Organ pipe a, with both ends open, has a fundamental frequency of 310 hz. the third harmonic of organ pipe b, with one end open, has the same frequency as the second harmonic of pipe a. how long are (a) pipe a and (b) pipe b? (take the speed of sound to be 343 m/s.)

Part a)

55.3 cm

Part b)

41.5 cm

Explanation:

Pipe A is open at both ends so the fundamental frequency of this pipe is given as

here we know that

V = 343 m/s

now we have

Now we also know that second harmonic of pipe A and third harmonic of pipe B has same frequency

so we will have

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.